Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side

Wen Chung Wu, Keh-Chin Chang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The three-dimensional natural convection in a cubical cavity is revisited using the theoretical formulation without introducing the usual approximations. Particular interests are focused on the Rayleigh numbers ranging around transition to chaos, i.e. Ra=O(108). It is found that the Boussinesq approximation, which was commonly used in the study of natural convection, indeed leads to some noticeable errors in the investigated Ra Range. The errors stemmed from another common approximation of neglecting the viscous dissipation term in the energy equation are investigated too. Finally, evolution of the buoyancy-driven flow in a cubical cavity from transition to chaos is performed using the exact, three-dimensional formulation.

Original languageEnglish
Title of host publication37th AIAA Thermophysics Conference
Publication statusPublished - 2004 Dec 1
Event37th AIAA Thermophysics Conference 2004 - Portland, OR, United States
Duration: 2004 Jun 282004 Jul 1

Publication series

Name37th AIAA Thermophysics Conference

Other

Other37th AIAA Thermophysics Conference 2004
CountryUnited States
CityPortland, OR
Period04-06-2804-07-01

Fingerprint

Natural convection
free convection
Chaos theory
chaos
buoyancy-driven flow
Boussinesq approximation
formulations
cavities
air
Rayleigh number
Air
Buoyancy
approximation
dissipation
energy

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering
  • Condensed Matter Physics

Cite this

Wu, W. C., & Chang, K-C. (2004). Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side. In 37th AIAA Thermophysics Conference (37th AIAA Thermophysics Conference).
Wu, Wen Chung ; Chang, Keh-Chin. / Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side. 37th AIAA Thermophysics Conference. 2004. (37th AIAA Thermophysics Conference).
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Wu, WC & Chang, K-C 2004, Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side. in 37th AIAA Thermophysics Conference. 37th AIAA Thermophysics Conference, 37th AIAA Thermophysics Conference 2004, Portland, OR, United States, 04-06-28.

Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side. / Wu, Wen Chung; Chang, Keh-Chin.

37th AIAA Thermophysics Conference. 2004. (37th AIAA Thermophysics Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Wu WC, Chang K-C. Revisiting transition to chaos of air in a cubical cavity heated from one vertical side and cooled from the opposite side. In 37th AIAA Thermophysics Conference. 2004. (37th AIAA Thermophysics Conference).